Gil Goldman

activity

20172024

most citedSingle-exponential bounds for the smallest singular value of Vandermonde matrices in the sub-Rayleigh regime

2 citations · 3 across the 5 of their papers we have counts for

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6 papers · 1 filter

math.CA2024

Lower bounds for high derivatives of smooth functions with given zeros

Gil Goldman, Yosef Yomdin

Let $f : B^{n} \to R$ be a $d + 1$ times continuously differentiable function on the unit ball $B^{n}$ , with $max_{z \in B^{n}} ∣ f (z) ∣ = 1$ . A well-known fact is that if $f$ …

math.CA2023

Higher derivatives of functions with zeros on algebraic curves

Gil Goldman, Yosef Yomdin

Let $f : B^{n} \to R$ be a $d + 1$ times continuously differentiable function on the unit ball $B^{n}$ , with $max_{z \in B^{n}} ∥ f (z) ∥ = 1$ . A well-known fact is that if…

math.CA2023

higher derivatives of functions with given critical points and values

Gil Goldman, Yosef Yomdin

Let $f : B^{n} \to R$ be a $d + 1$ times continuously differentiable function on the unit ball $B^{n}$ , with $max_{z \in B^{n}} ∥ f (z) ∥ = 1$ . A well-known fact is that if $…

math.CA2019

Exponential Taylor domination

Omer Friedland, Gil Goldman, Yosef Yomdin

Let $f (z) = \sum_{k = 0}^{\infty} a_{k} z^{k}$ be an analytic function in a disk $D_{R}$ of radius $R > 0$ , and assume that $f$ is $p$ -valent in $D_{R}$ , i.e. it takes each value $c\in{\mathbb C…

math.CA2018

On algebraic properties of low rank approximations of Prony systems

Gil Goldman, Yosef Yomdin

We consider the reconstruction of spike train signals of the form $F (x) = i = 1 \sum d a_{i} δ (x - x_{i}),$ from their moments measurements $m_k(F)=\int x^k F(x) dx = \sum_{i=1}^d a_ix…

math.CA2017★ 1 cited

Algebraic Geometry of Error Amplification: the Prony leaves

Dmitry Batenkov, Gil Goldman, Yehonatan Salman +1

We provide an overview of some results on the "geometry of error amplification" in solving Prony system, in situations where the nodes near-collide. It turns out to be governed by…